A quotient of the Lubin-Tate tower II

@article{Johansson2018AQO,
title={A quotient of the Lubin-Tate tower II},
author={C. Johansson and Judith Ludwig},
journal={arXiv: Algebraic Geometry},
year={2018}
}
• Published 2018
• Mathematics
• arXiv: Algebraic Geometry
In this article we construct the quotient M_1/P(K) of the infinite-level Lubin-Tate space M_1 by the parabolic subgroup P(K) of GL(n,K) of block form (n-1,1) as a perfectoid space, generalizing results of the second author to arbitrary n and K/Q_p finite. For this we prove some perfectoidness results for certain Harris-Taylor Shimura varieties at infinite level. As an application of the quotient construction we show a vanishing theorem for Scholze's candidate for the mod p Jacquet-Langlands and… Expand
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A QUOTIENT OF THE LUBIN–TATE TOWER
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